A new action for nonrelativistic particle in curved background

Abstract

We obtain a new form for the action of a nonrelativistic particle coupled to Newtonian gravity. The result is different from that existing in the literature which, as shown here, is riddled with problems and inconsistencies. The present derivation is based on the formalism of Galilean gauge theory, introduced by us as an alternative method of analysing nonrelativistic symmetries in gravitational background.